Not only does Maple's internal list of mersenne prime exponents need updating, but the routine itself might (possibly) do with an overhaul.
There are ranges for which it is now known that no more Mersenne primes exist. But there are also ranges for which conclusive searching is not yet finished. The 'false' and 'FAIL' returns from numtheory:-mersenne do not reflect all that.
The numtheory package was updated as a module, and the list now appears to be stored in a name (w) accessed by numtheory:-mersenne via lexical scoping. In case anyone's interested in seeing Maple's internal list, here's how to show it in Maple 12.
Comments
Mersenne
No... You might try a Lucas-Lehmer test. But with highly-optimized specialized software that took days.
update
Not only does Maple's internal list of mersenne prime exponents need updating, but the routine itself might (possibly) do with an overhaul.
There are ranges for which it is now known that no more Mersenne primes exist. But there are also ranges for which conclusive searching is not yet finished. The 'false' and 'FAIL' returns from numtheory:-mersenne do not reflect all that.
The numtheory package was updated as a module, and the list now appears to be stored in a name (w) accessed by numtheory:-mersenne via lexical scoping. In case anyone's interested in seeing Maple's internal list, here's how to show it in Maple 12.
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